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Sponsored by the Center for Science and Technology Development of the Ministry of Education
Supervised by Ministry of Education of the People's Republic of China
This paper considers online scheduling on m unbounded parallel-batch machines to minimize maximum flow-time of the jobs. The research shows that no online algorithm can have a competitive ratio less than, where is the positive root of, and this lower bound is still valid even when all jobs have the same processing times. An online algorithm of competitive ratio 1+1/m is presented in the paper. When the jobs have the same processing times, a best possible online algorithm of competitive ratio is established.
Keywords:operations research; online scheduling; parallel-batch machines; makespan; competitive ratio